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Finding the Third Proportional to 1,501.66 and 2,213.26

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Solution

The third proportional to 1,501.66 and 2,213.26 is: 3,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.66 : 2,213.26 = 2,213.26 : x
  2. Step 2: Convert to fraction form
    1,501.66/2,213.26 = 2,213.26/x
  3. Step 3: Cross multiply
    1,501.66x = 2,213.26 × 2,213.26
  4. Step 4: Simplify right side
    1,501.66x = 4,898,527.44
  5. Step 5: Solve for x
    x = 4,898,527.44/1,501.66
  6. Step 6: Final answer
    x = 3,262.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.